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dusya [7]
3 years ago
13

Drake rolls two fair number cubes.

Mathematics
1 answer:
Margaret [11]3 years ago
4 0

Answer:

23/36

Step-by-step explanation:

In the figure attached, the possible outcomes are shown. We can see that there are 6*6 = 36 total outcomes, 23 of them are less than 14. Then the probability that the product of the two numbers Drake rolls is less than 14 is 23/36

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Suppose that the lifetime of tv tubes are normally distributed with a standard deviation of 1.1 years. Suppose that exactly 20%
IrinaK [193]

Answer:

4.924 years

Step-by-step explanation:

Lets denote X the lifetime of a tv tube (In years). X has distribution N(\mu, 1.1) , with \mu unknown.

We know that P(X < 4) = 0.2. Using this data, we can find the value of \mu throught standarization.

Lets call Z = \frac{X - \mu}{1.1} the standarization of X. Z has distribution N(0,1), and its cummulative function, \phi is tabulated. The values of \phi can be found in the attached file.

P(X < 4) = P(\frac{X - \mu}{1.1} < \frac{4 - \mu}{1.1}) = P(Z < \frac{4 - \mu}{1.1}) = \phi(\frac{4 - \mu}{1.1}) = 0.2

The value q such that \phi (q) = 0.2 doesnt appear on the table. We can find it by using the symmetry of the normal density function. The opposite of q, -q must verify that \phi(-q) = 0.8 , hence -q must be equal to 0.84. Thus, q = -0.84

But this value of q should match with the number \frac{4 - \mu}{1.1} , so we have

\frac{4- \mu}{1.1} = -0.84

4 - \mu = 1.1 * (-0.84) = -0.924

\mu = 4 - (-0.924) = 4.924

Thus, the expected lifetime of TV tubes is 4.924 years.

I hope this works for you!

Download pdf
7 0
4 years ago
Help Please! What statement correctly describes the key features of the graph of f(x) = − 4(one half)x + 1 − 3?
alina1380 [7]
The <span>statement correctly describes the key features of the graph of f(x) = − 4(one half)x + 1 − 3 </span>B) Y-intercept of (0, −5), starts down on the left, gets closer to y = −3 on the right. Hope that helps you.
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timurjin [86]

x+7+x=165

2x+7=165

2x+7-7=165-7

2x=158

2x÷2=158÷2

x=79

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Which list of numbers is in order from least to greatest?
7nadin3 [17]
The correct answer is A.

6 0
4 years ago
How can I find the area of this figure?​
motikmotik

Answer:

Area = y² + 2x + 1

Step-by-step explanation:

You have to combine like terms:

The little square is 1 unit, so 1

The two bars are each worth x, so 2 * x = 2x

The big square is y²

The total area is the sum of all terms:

Area = y² + 2x + 1

-Chetan K

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